The sun is 9.3 x 10^7 miles from Earth. The closest star, Proxima Centauri, is 1.0x10^4 times farther
from Earth than the sun. What is the approximate distance from Earth to Proxima Centauri?
A.9.3 x 10³ miles
B.9.3 x 10^4miles
c.9.3 x 10¹¹ miles
D.9.301 x 10^7 miles

Answer:

B. ∠ABC

Step-by-step explanation:

When naming an angle using three points, the points should be given in order, with the vertex of the angle in the middle. B is the only option that has the letters in the right order.

∠CBA would also be a valid name for the angle, but that's not one of the options.

The diagram below shows what the problem is describing.

Rays BA and BC will form an angle named B. <ABC.

Therefore, the letter of the vertex will be in the middle of the three letters used in naming the angle.

The name of the angle formed by BA and BC is B. <ABC.

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Answer:

75833vq77-74thk4ftf08f088f8008f8008f080f86f688f0680f0f8806f806f64

Step-by-step explanation:

hope this helps

Answer:

\(1\frac{7}{12}\) or \(\frac{19}{12}\)

Step-by-step explanation:

\(\frac{3}{4} + \frac{1}{3} + \frac{1}{2} \\\)

The less common multiple of 4,3, and 2 is 12

\(\frac{3}{4} * \frac{3}{3} = \frac{9}{12}\)

\(\frac{1}{3} * \frac{4}{4} = \frac{4}{12}\)

\(\frac{1}{2} * \frac{6}{6} = \frac{6}{12}\)

This makes it easier the add

\(\frac{9}{12} + \frac{4}{12} + \frac{6}{12} = \frac{19}{12}\\\)

When reduced equals

\(1\frac{7}{12}\)

Hope this helps! :)

pls mark brainiest

Answer:

1. 19 (x) = 7

2. -32 + x = 2

3. x ÷ -27 = 8

4. x - 12 = 5

5. 1/3 (x) = 3

Step-by-step explanation:

:)

Using proportions, Nelly's total pay for last week was of £220.

A proportion is a fraction of a total amount, and the measures are related using a rule of three. Due to this, relations between variables, either direct or inverse proportional, can be built to find the desired measures in the problem.

From Monday to Friday, she worked 17 hours, hence:

On Saturday, she worked 5 hours, and was paid £16 per hour.

Hence her total payment is found as follows:

15 x 8 + 2 x 10 + 5 x 16 = £220.

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The statement is true. If S, U, and W are subspaces of V such that S+W=U+W, then S=U.

To prove the statement, we need to show that if S+W=U+W, then S=U.

Suppose S+W=U+W. Let x be an arbitrary element in S. Since x is in S, we know that x is in S+W. And since S+W=U+W, x must also be in U+W. This means that x can be expressed as a sum of vectors, where one vector is from U and the other vector is from W.

Now, let's consider the vector x as a sum of two vectors: x=u+w, where u is in U and w is in W. Since x is in U+W, it must also be in U. This implies that x=u, and since x was an arbitrary element in S, we can conclude that S is a subset of U.

Similarly, if we consider an arbitrary element y in U, we can express it as y=s+v, where s is in S and v is in W. Since y is in U+W, it must also be in S+W. Therefore, y=s, and since y was an arbitrary element in U, we can conclude that U is a subset of S.

Since S is a subset of U and U is a subset of S, we can conclude that S=U. Thus, the statement is proven, and if S+W=U+W, then S=U.

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The probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles =  0.0111

In this question we need to find the probability for the experiment of drawing two marbles (without replacement) from a bag containing three green, three yellow, and four red marbles.

Total marbles in tha bag

= 3 green marbles + 3 yellow marbles + 4 red marbles

= 10 marbles

the probability of drawing one marble from a bag,

P1 = 1/10

Now there are 9 marbles in the bag.

So, the probability of drawing second marble would be,

P2 = 1/9

So, the required probability of drawing two marbles (without replacement) from a bag would be,

P = P1 * P2

P = 1/10 * 1/9

P = 1/90

P = 0.0111

Therefore, the probability of drawing two marbles (without replacement) from a bag = 0.0111

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Answer: 1

Step-by-step explanation:

y = mx + b

*plugging in x-value and y-value into formula*

7 = 3 * 2 + b

7 = 6 + b

7 - 6 = 1

Answer:

b

Step-by-step explanation:

cause u are using 3 gallons which is taking away

Answer:

the answer is only 3

Step-by-step explanation:

you read all of them and you make it an equation and if it is negative or subtraction that would be your answer

Answer: B

Step-by-step explanation:

There are several ways to solve this problem, but I think the easiest way is just to find the mean.

There are 12 total data points, and adding them all up you get 266.

mean = 266/12 = 22.167

The line in the middle of the box plot represents the mean, so the answer must be B.

Answer:

B

I hope this helps!

The total sum of the squares is the sum of residual sum of squares and the explained sum of squares.

Simple regression analysis means that there is 1 dependent variable and 1 independent variable.

In this, there is 3 types of sum of squares:

They are related to each other as:

TSS = RSS + ESS

That is the total sum of the squares will be equal to the residual sum of squares plus the explained sum of squares.

Therefore, we get that, the total sum of the squares is the sum of residual sum of squares and the explained sum of squares.

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Answer:

12

Step-by-step explanation:

5^2 + b^2 = 13^2

25+c^2= 169

c^2=144

c=12

Answer:

its d because your switching it up.

It would take about 56 years for the number of species born in captivity to be equal to the number of species remaining in the wild.

Based on the graph, we would determine the constant of proportionality (k) by using the various data points from table D as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = 100/5 = 200/10

Constant of proportionality, k = 20

Therefore, the required linear function is given by;

C = kt

C = 20t

Next, we would equate the two functions and solve using natural logarithms as follows;

\(20t=20000(0.95)^t\\\\t=1000(0.95)^t\)

t = 56.14 ≈ 56 years.

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

Distributive property

Step-by-step explanation:

It is very helpful with equations and polinomials

Answer:

Monaco is the country with the highest median age in the world. The population has a median age of around 55 years, which is around seven years more than in Japan and Saint Pierre and Miquelon – the other countries that make up the top three.

Step-by-step explanation:

Answer: 3

Step-by-step explanation:

-3 + 4x = 9

if u add 3 to 9, u get 12. 12 divided by 4 is 3

Add 3 to both sides of the equation to isolate the variable term. Therefore, option B is the correct answer.

The given equation is -3 + 4x = 9.

The addition property of equality tells us that adding the same number to each side of an equation gives us an equivalent equation.

Now, add 3 on both sides.

That is, -3 + 4x +3= 9+3

⇒4x=12

⇒x=3

Therefore, option B is the correct answer.

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\(\sf \longmapsto y=4/7x−2\)

\(\sf \longmapsto \dfrac{4}{7} x - 2 = y\)

\(\sf \longmapsto \dfrac{4}{7} x - 2 + 2 = y + 2\)

\(\sf \longmapsto \dfrac{4}{7} x = y + 2\)

\(\sf \longmapsto \dfrac{4}{7 } x \bigg/ \dfrac{4}{7} = \dfrac{y + 2}{ \dfrac{4}{7} } \)

\(\sf \longmapsto x = \dfrac{7y + 4}{14} \)

Answer:

3m=n

Step-by-step explanation:

Answer:

Step-by-step explanation:

2100 - 1900 =  200

660(200) + 14,400

p = 146400

146,400 people

The answer is B

Answer:

300 cupcakes

Step-by-step explanation:

Okay, the first step is finding 25% of 240, we do this by multiplying .25 by 240. This gets us 60. Then, to get 125% of 240 (since sales dropped 25%), we add 240 and 60, this gets us 300. 300 cupcakes were sold. Another way to do this is 1.25x240. I wanted to explain it more thoroughly, though.

C will be the answer... its ur boi C bandzzzzzzz

Answer:

C (Circumference) = π r²h

V (Volume) = π r²h

The variance of K(x) is calculated to be 19/400, based on the given constant mortality rate and life table information.

The random variable K(x) represents the number of individuals alive at age x in a population with a constant mortality rate μ > 0. The survival function S(x) gives the probability that an individual survives beyond age x, which is given as S(x) = e^(-μx).

Since e_x = 20, we can determine the value of S(x) by substituting x = 20 into the survival function: S(x) = e^(-μx) = e^(-μ * 20) = 1/20.

Using the formula for variance, Var(K(x)) = S(x)(1 - S(x)), we can plug in the value of S(x) to calculate Var(K(x)): Var(K(x)) = (1/20)(1 - 1/20) = 19/400.

Therefore, the variance of K(x) is 19/400.

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The numerator of the fraction representing the selected part is 1.

When we pick up one part from a group of 4, we have 4 parts in total. Let's represent this situation using a fraction.

The fraction can be written as:

\(\[\frac{{\text{{Number of parts selected}}}}{{\text{{Total number of parts available}}}}\]\)

In this case, the number of parts selected is 1, since we are picking up one part. And the total number of parts available is 4.

So, the fraction representing the situation is:

\(\[\frac{{1}}{{4}}\]\)

The numerator of the fraction is 1, which represents the number of parts selected from the group of 4.

Hence, the solution is: The numerator of the fraction is 1.

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This is because the F-statistic for omitting BDR and Age from the regression is 0.08, which is less than the critical value for the test using the F-distribution table.

To test if the coefficients on BDR and Age are statistically different from zero, we compare the F-statistic with the critical value from the F-distribution table. The F-statistic is a measure of the overall significance of the regression model when certain variables are omitted.

In this case, the F-statistic is given as 0.08. To determine if the coefficients are statistically different from zero at the 5% level, we compare this value with the critical value from the F-distribution table. The critical value represents the threshold beyond which we reject the null hypothesis.

Based on the statement provided, it states that 0.08 is "less than the critical value." Since the F-statistic is smaller than the critical value, we can conclude that the coefficients on BDR and Age are not jointly significant at the 5% level. In other words, we fail to reject the null hypothesis that the coefficients are equal to zero.

The use of the phrase "jointly significant" implies that the significance of the coefficients is considered together, rather than individually. The test assesses the overall impact of BDR and Age on the regression model, rather than their individual effects. Since the F-statistic falls below the critical value, we do not have sufficient evidence to conclude that BDR and Age have a significant impact on the model.

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Answer:

15.12

Step-by-step explanation:

15.12

The quotient of the expression is (√30 / 3) cis (4π / 3).

Let's break down the given expressions into their magnitude and angle components:

Expression 1: 6√5cis(11π/6)

Magnitude: 6√5

Angle: 11π/6

Expression 2: 3√6cis(π/2)

Magnitude: 3√6

Angle: π/2

Now, let's apply the division rule:

Step 1: Divide the magnitudes:

6√5 ÷ 3√6

To divide the magnitudes, we divide the values under the square roots:

(6/3) * (√5/√6) = 2 * (√5/√6)

We can simplify this expression further by rationalizing the denominator. To rationalize, we multiply both the numerator and the denominator by the conjugate of the denominator (√6):

(2 * (√5/√6)) * (√6/√6) = (2√5 * √6) / (√6 * √6)

= (2√30) / 6

= √30 / 3

So, the magnitude component of the quotient is √30 / 3.

Step 2: Subtract the angles:

(11π/6) - (π/2)

To subtract the angles, we need a common denominator:

(11π/6) - (3π/6) = (11π - 3π) / 6 = 8π / 6

To simplify the angle, we divide the numerator and denominator by their greatest common divisor (2):

(8π / 6) ÷ (2/2) = (4π / 3)

So, the angle component of the quotient is 4π / 3.

Step 3: Combine the magnitude and angle components:

The quotient is given by (√30 / 3) cis (4π / 3).

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Answer:

Emily has about 73 beads and Martha has about 62

Step-by-step explanation:

E = M · 1.2

M + ( .25 · E ) = m

m = 80

Now work backwards to find the answer.

Note that to find the answer you must get rid of the variable E, so you must use the expression M · 1.2 to represent E.

M + ( .25 · M · 1.2 ) = 80

M + .3M = 80

1.3M = 80

Divide both sides by 1.3

M = 61.5

Round to the nearest one

M = 62

Now use this to find E

E = 62 · 1.2

E = 74.4

Round to nearest one

E = 73

This might be confusing but I hope it was helpful!

Also, can I get brainliest because this took a lot of work to figure out.